Non-analytic Bergman and Szegö kernels for weakly pseudoconvex tube domains in ℂ2

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Abstract

For any weakly pseudoconvex tube domain in ℂ2 with real analytic boundary, there exist points on the boundary off the diagonal where the Bergman kernel and the Szegö kernel fail to be real analytic.

Original languageEnglish
Pages (from-to)585-603
Number of pages19
JournalMathematische Zeitschrift
Volume236
Issue number3
DOIs
Publication statusPublished - Mar 2001

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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